What is (x^2+1)(x^2-2x+5)>= 0 ?

The solution to (x^2+1)(x^2-2x+5)>= 0 is True for all x

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(x^2+1)(x^2-2x+5)>= 0

(x^{2} + 1) (x^{2} - 2 x + 5) \geq 0

True for all x

Interval Notation

(- \infty, \infty)

Solution steps

(x^{2} + 1) (x^{2} - 2 x + 5) \geq 0

Identify the intervals

True for all x

\frac{( ( x - 2 ) ^{2} \cdot ( x - 4 ) ^{4} )}{( x ^{2} - x + 1 )} \leq 0

x (x^{2} + 1) \geq 2

\frac{( x ^{2} + 7 x + 10 )}{( x ^{2} - 4 )} \geq 0

6 x^{3} + x^{2} - 54 x + 56 < 0

\frac{x}{( x - 3 )} < \frac{9}{( 4 x + 3 )}

What is (x^2+1)(x^2-2x+5)>= 0 ?
The solution to (x^2+1)(x^2-2x+5)>= 0 is True for all x